Abstract
We show that the set of stationary weak solutions for a class of infinite dimensional stochastic differential equations coincides with the set of shift invariant, space-time Gibbs fields for a certain potential. The key step consists in proving the Gibbs variational principle for space-time Gibbs fields.
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Schedule a callMore From: Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete
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